What is the Least Common Multiple of 46203 and 46209?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 46203 and 46209 is 711664809.
LCM(46203,46209) = 711664809
Least Common Multiple of 46203 and 46209 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46203 and 46209, than apply into the LCM equation.
GCF(46203,46209) = 3
LCM(46203,46209) = ( 46203 × 46209) / 3
LCM(46203,46209) = 2134994427 / 3
LCM(46203,46209) = 711664809
Least Common Multiple (LCM) of 46203 and 46209 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 46203 and 46209. First we will calculate the prime factors of 46203 and 46209.
Prime Factorization of 46203
Prime factors of 46203 are 3, 15401. Prime factorization of 46203 in exponential form is:
46203 = 31 × 154011
Prime Factorization of 46209
Prime factors of 46209 are 3, 73, 211. Prime factorization of 46209 in exponential form is:
46209 = 31 × 731 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 46203 and 46209.
LCM(46203,46209) = 31 × 154011 × 731 × 2111
LCM(46203,46209) = 711664809
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